1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arlecino [84]
3 years ago
6

1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the

PERCENT of scores that are:
A) Between 90 and 100.


B) Over 110


C) Between 80 and 120


D) Less than 80


E) Between 70 and 100


F) More than 130
Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

                                                =  0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

You might be interested in
To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payme
Anestetic [448]

Answer:

a. $24,512.32

b. $712.32

Step-by-step explanation:

a. A price of car $15,300, Tony made a down payment of $3900 so car has $11,400 left of a price and took out a loan.

He paid monthly payments of $252.34 for 4 years. Which mean $252.34 is paid for 48 months, multiplication $252.34 and 48 are $12,112.32. So we have monthly payments is $12,112.32

The total amount Tony ended up for the car is $11,400 + $12,112.32 = $24,512.32

b. The interest Tony pay on the loan is $12,112.32 - $11,400 = $712.32

3 0
3 years ago
I'm pretty sure its D.
lidiya [134]
I hope this helps you




5=7x+0.1+10x-0.2


17x=5.1


x=5.1/17


x=3/10


x=0.3


7 0
3 years ago
1. Which of the following relations are functions?
klasskru [66]

Answer:

R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}

R3 = {(x, y) (y, z) (z, t) (t, v)}

R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images

8 0
2 years ago
Please help!!!!! Fast please
7nadin3 [17]

3/1 cup is the answer!

3 0
3 years ago
The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectang
VARVARA [1.3K]

Answer:

16m and 12m

Step-by-step explanation:

2x + 2(x - 4) = 56

4x = 64

x = 16

Sides are 16 m and 12 m

8 0
3 years ago
Other questions:
  • What is the vertex of the graph of y = 2(x − 3)2 + 4?
    6·1 answer
  • I don’t u sweat and this
    15·2 answers
  • Can someone please answer this for me I'm begging
    6·1 answer
  • Solving Exponential Equations (lacking a common base)<br> 2^y=18
    5·1 answer
  • Alicia drew a map of Texas. In the scale Alicia used for the map, .50 inch represents 20 miles. What is the distance between two
    13·2 answers
  • A woman drives a distance of 40km to work each day and her average speed for the journey is written as x km/h. If she increase h
    12·1 answer
  • Factor the following.
    6·2 answers
  • 7. Diane flew home from vacation with a heavy bag. With the first airline she 1 point
    9·1 answer
  • What is the (Cubed root of 2)^24?
    14·2 answers
  • How many whole numbers are there between 32 and 96?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!